the ratio 12 : 9 as an equivalent ratio of 4 : x
To find an equivalent ratio of 4 : x, we need to find the value of x.
We can set up a proportion by equating the ratios of 12 : 9 and 4 : x:
12/9 = 4/x
Cross-multiplying, we get:
12x = 9 * 4
Simplifying, we have:
12x = 36
Dividing both sides by 12, we find:
x = 3
Therefore, the equivalent ratio of 12 : 9 as 4 : x is 4 : 3.
To find the equivalent ratio of 4 : x for the ratio 12 : 9, we can use the concept of proportionality.
Step 1: Write down the given ratio and the unknown ratio as a proportion:
12/9 = 4/x
Step 2: Cross multiply:
12x = 4 * 9
Step 3: Solve for x by dividing both sides of the equation by 12:
x = (4 * 9)/12
Step 4: Simplify:
x = 36/12
Step 5: Divide the numerator and the denominator by their greatest common divisor (GCD) to simplify the fraction:
x = 3
Therefore, the equivalent ratio for the ratio 12 : 9 is 4 : 3.
To find the equivalent ratio of 4 : x for the given ratio 12 : 9, we need to determine the value of x.
A ratio can be written as a fraction. So, the given ratio becomes 12/9. We want to find the equivalent ratio with 4 as the numerator.
To find the value of x, we set up a proportion using the ratio:
12/9 = 4/x
Now, we cross-multiply:
12 * x = 9 * 4
12x = 36
Dividing both sides of the equation by 12:
x = 36/12
Simplifying the fraction:
x = 3
Therefore, the equivalent ratio of 4 : x for the given ratio 12 : 9 is 4 : 3.